Question

select the correct answer from each drop - down menu. point c is the center of the circle. central angle ∠c and circumscribed angle ∠s intersect the same arc, so the angles are. central angle ∠c and inscribed angle ∠r intersect the same arc, so m∠r is.

Explanation:

Step1: Recall angle - arc relationships

The central angle and the circum - scribed angle that intersect the same arc are supplementary. That is, the sum of their measures is 180°.

Step2: Recall inscribed - central angle relationship

The measure of an inscribed angle is half the measure of the central angle that subtends the same arc.

Answer:

The first blank: supplementary. The second blank: half of m∠C.